Question

In ∆abc if ∠a − ∠b = 35° and ∠b − ∠c = 20°, find all the angles of triangle.

Answer 1

Answer:

a=90

b=55

c=35

Step-by-step explanation:

given,

$a - b = 35 \:$

$b - c = 20$

=>

$a = b + 35$

$c = b - 20$

Also, in a triangle

$a + b + c = 180$

or

$b + 35 + b + b - 20 = 180$

$3b = 165$

$b = 55$

Hence

$a = 90$

$c = 35$